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Finding the Fourth Proportional to 359.10, 538.38 and 221.94

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Solution

The fourth proportional to 359.10, 538.38 and 221.94 is: 332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 538.38 = 221.94 : x
  2. Step 2: Convert to fraction form
    359.10/538.38 = 221.94/x
  3. Step 3: Cross multiply
    359.10x = 538.38 × 221.94
  4. Step 4: Simplify right side
    359.10x = 119,488.06
  5. Step 5: Solve for x
    x = 119,488.06/359.10
  6. Step 6: Final answer
    x = 332.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.